OUTLINE OF WORK DONE
KAPIL PARANJAPE
1.
Special divisors and a conjecture of M. Green
2.
Kuga-Satake varieties and K3 surfaces
3.
Self maps of Homogeneous spaces
4.
The Iso-spectral problem
5.
Further work on syzygies
6.
Curves on threefolds
7.
Geometry of hypersurfaces and complete intersections
8.
Absolute Hodge cycles
9.
Resolution of Singularities
10.
Homological Algebra
11.
Motives
12.
Varieties defined over number fields
13.
Hodge conjecture for the general Prym variety
14.
Cycles over fields of Transcendence degree one
15.
Calabi-Yau varieties and modular forms
References